Stress/strain concentration in shear loadings

AI Thread Summary
In a pure shear loading scenario involving a rectangle transitioning to a parallelogram, the finite element analysis (FEA) results indicate unexpected stress and strain concentrations at the bottom corners, despite the expectation of uniform deformation. These concentrations are identified as singularities, raising questions about their occurrence solely at the bottom corners. The fixed boundary condition at the bottom is intended to prevent rigid body motion, yet it appears to influence the stress distribution. The discussion seeks clarification on the normalcy of these singularities and methods to mitigate them. Understanding these phenomena is crucial for accurate modeling in shear loading scenarios.
feynman1
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A rectangle (plane strain/stress) is sheared on 3 edges (bottom fixed) so that it becomes a parallelogram. In theory this is pure shear and should undergo uniform deformation throughout the domain. The FEA result for this pure shear loading still shows stress/strain concentration on the bottom corners. Is that normal and how to get rid of them?
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Arjan82 said:
These corners are singularities
Why should there be such singularities only on the bottom? In theory (uniform solution) the bottom corners aren't any different from the other 2 vertices. The fixed bottom is just the FEA boundary condition to prevent rigid body motions.
 

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